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Finding the Fourth Proportional to 838.49, 1,156.65 and 523.63

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Solution

The fourth proportional to 838.49, 1,156.65 and 523.63 is: 722.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.49 : 1,156.65 = 523.63 : x
  2. Step 2: Convert to fraction form
    838.49/1,156.65 = 523.63/x
  3. Step 3: Cross multiply
    838.49x = 1,156.65 × 523.63
  4. Step 4: Simplify right side
    838.49x = 605,656.12
  5. Step 5: Solve for x
    x = 605,656.12/838.49
  6. Step 6: Final answer
    x = 722.32

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.